Question

Which equation does the graph below represent

y = fraction 1 over 4 + x

y = fraction 1 over 4x

y = 4 + x

y = 4x

Answer 1

y-intercept, where the graph crosses y-axiss is 0. that means in the equation: y = mx + b
b = 0
the m, is slope. looking at the graph you can see the points on the line are connect up 4 right 1. rise/run = slope = 4
y = 4x

Answer 2

Answer: The correct option is (D)
`y=4x.`

Step-by-step explanation: We are given to select the equation represented by the graph shown.

From the graph, we see a straight line passing through the points (0, 0) and (1, 4).

The slope of a straight line passing through the points (a, b) and (c, d) is given by

`m=(d-b)/(c-a).`

So, the slope of the graphed line will be

`m=(4-0)/(1-0)\\\\\Rightarrow m=(4)/(1)\\\\\Rightarrow m=4.`

Since the line passes through the point (0, 0), so its equation will be

`y-0=m(x-0)\\\\\Rightarrow y=4* x\\\\\Rightarrow y=4x.`

Thus, the required equation that represents the graphed line is
`y=4x.`

Option (D) is CORRECT.